b) Consider a rod of length L, whose ends are kept at a constant temperature and its lateral surface is insulated. The heat flow is described by the 1-D heat diffusion equation subject to the conditions: f(0,t) = f(L,t)=0 for t> 0 3лx f(x,0)=sin- for 0 < x
b) Consider a rod of length L, whose ends are kept at a constant temperature and its lateral surface is insulated. The heat flow is described by the 1-D heat diffusion equation subject to the conditions: f(0,t) = f(L,t)=0 for t> 0 3лx f(x,0)=sin- for 0 < x
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 15E
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Transcribed Image Text:b) Consider a rod of length L, whose ends are kept at a constant temperature and its
lateral surface is insulated. The heat flow is described by the 1-D heat diffusion
equation subject to the conditions:
f(0,t) = f(L,t)=0 for t> 0
3лx
f(x,0)=sin-
for 0 < x <L
L
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